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Finding the Fourth Proportional to 134.69, 185.78 and 123.89

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Solution

The fourth proportional to 134.69, 185.78 and 123.89 is: 170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.69 : 185.78 = 123.89 : x
  2. Step 2: Convert to fraction form
    134.69/185.78 = 123.89/x
  3. Step 3: Cross multiply
    134.69x = 185.78 × 123.89
  4. Step 4: Simplify right side
    134.69x = 23,015.66
  5. Step 5: Solve for x
    x = 23,015.66/134.69
  6. Step 6: Final answer
    x = 170.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.